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Finding the Third Proportional to 298,049,173,063.50 and 650,042,109,009

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Solution

The third proportional to 298,049,173,063.50 and 650,042,109,009 is: 1,417,734,997,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,049,173,063.50 : 650,042,109,009 = 650,042,109,009 : x
  2. Step 2: Convert to fraction form
    298,049,173,063.50/650,042,109,009 = 650,042,109,009/x
  3. Step 3: Cross multiply
    298,049,173,063.50x = 650,042,109,009 × 650,042,109,009
  4. Step 4: Simplify right side
    298,049,173,063.50x = 422,554,743,484,868,617,830,400
  5. Step 5: Solve for x
    x = 422,554,743,484,868,617,830,400/298,049,173,063.50
  6. Step 6: Final answer
    x = 1,417,734,997,019.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.